A coherent optical processor capable of calculating generalized moments of a two-dimensional pattern is described. A spatial-frequency multiplexing scheme is used to provide for parallel computation of multiple moments. The use of a computer-generated holographic mask permits complete flexibility in choosing moment-generating functions; e.g., the functions could be complex or have a predetermined weighting function. Experimentally, calculation of five geometric moments (corresponding to x, y, xy, x², and y²) is demonstrated for simple objects. The special features of the proposed coherent optical processor and its space—bandwidth requirements are also discussed.

© 1981 Optical Society of America

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